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Eccentricity given Moment at Section of Column with Eccentric Load Formula

GoEccentricity given Deflection at Section of Column with Eccentric load Formula

GoEccentricity given Maximum Stress for Column with Eccentric Load Formula

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Eccentricity of column refers to the distance between the line of action of the applied load and the centroidal axis of the column’s cross-section. Check FAQs

e = (\frac{M}{P}) - δ + δ c

e - Eccentricity of Column?M - Moment of Force?P - Eccentric Load on Column?δ - Deflection of Free End?δ_c - Deflection of Column?

Eccentricity given Moment at Section of Column with Eccentric Load Example

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Here is how the Eccentricity given Moment at Section of Column with Eccentric Load equation looks like with Values.

Here is how the Eccentricity given Moment at Section of Column with Eccentric Load equation looks like with Units.

Here is how the Eccentricity given Moment at Section of Column with Eccentric Load equation looks like.

1010.888 = (\frac{48}{40}) - 201.112 + 12

1010.888mm = (\frac{48N*m}{40N}) - 201.112mm + 12mm

1010.888 = (\frac{48}{40}) - 201.112 + 12

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Eccentricity given Moment at Section of Column with Eccentric Load Solution

Follow our step by step solution on how to calculate Eccentricity given Moment at Section of Column with Eccentric Load?

FIRST Step Consider the formula

e = (\frac{M}{P}) - δ + δ c

Next Step Substitute values of Variables

∴

e = (\frac{48N*m}{40N}) - 201.112mm + 12mm

Next Step Convert Units

∴

e = (\frac{48N*m}{40N}) - 0.2011m + 0.012m

Next Step Prepare to Evaluate

∴

e = (\frac{48}{40}) - 0.2011 + 0.012

Next Step Evaluate

∴

e = 1.010888m

LAST Step Convert to Output's Unit

∴

e = 1010.888mm

Eccentricity given Moment at Section of Column with Eccentric Load Formula Elements

Variables

Eccentricity of Column

Eccentricity of column refers to the distance between the line of action of the applied load and the centroidal axis of the column’s cross-section.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Column

Moment of Force

Moment of force also known as torque, measures the tendency of a force to rotate an object around a point or axis, calculated as the product of the force and the perpendicular distance.

Symbol: M

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Moment of Force

Eccentric Load on Column

Eccentric load on column refers to a load that is applied at a point away from the centroidal axis of the column’s cross-section where loading introduces both axial stress and bending stress.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Eccentric Load on Column

Deflection of Free End

Deflection of free end of a beam refers to the displacement or movement of the beam’s free end from its original position due to applied loads or crippling load at the free end.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Free End

Deflection of Column

Deflection of column refers to the degree to which a column bends or displaces under the influence of external forces such as weight, wind, or seismic activity.

Symbol: δ_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Column

Other Formulas to find Eccentricity of Column

Go Eccentricity given Deflection at Section of Column with Eccentric load

e = (\frac{δ c}{1 - \cos (x \cdot \sqrt{\frac{P}{ε column \cdot I}})}) - δ

Go Eccentricity given Maximum Stress for Column with Eccentric Load

e = \frac{(σ max - (\frac{P}{A sectional})) \cdot S}{\frac{P \cdot \sec (l e \cdot \sqrt{\frac{P}{ε column \cdot I}})}{2}}

Other formulas in Columns With Eccentric Load category

Go Moment at Section of Column with Eccentric Load

M = P \cdot (δ + e load - δ c)

Go Eccentric Load given Deflection at Section of Column with Eccentric Load

P = ({(\frac{a \cos (1 - (\frac{δ c}{δ + e load}))}{x})}^{2}) \cdot (ε column \cdot I)

Go Modulus of Elasticity given Deflection at Section of Column with Eccentric Load

ε column = (\frac{P}{I \cdot ({(\frac{a \cos (1 - (\frac{δ c}{δ + e load}))}{x})}^{2})})

Go Moment of Inertia given Deflection at Section of Column with Eccentric Load

I = (\frac{P}{ε column \cdot ({(\frac{a \cos (1 - (\frac{δ c}{δ + e load}))}{x})}^{2})})

How to Evaluate Eccentricity given Moment at Section of Column with Eccentric Load?

Eccentricity given Moment at Section of Column with Eccentric Load evaluator uses Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column to evaluate the Eccentricity of Column, Eccentricity given Moment at Section of Column with Eccentric Load formula is defined as a measure of how much the line of action of the load deviates from the centroid of the column section, which affects the structural integrity and load-carrying capacity of the column. Eccentricity of Column is denoted by e symbol.

How to evaluate Eccentricity given Moment at Section of Column with Eccentric Load using this online evaluator? To use this online evaluator for Eccentricity given Moment at Section of Column with Eccentric Load, enter Moment of Force (M), Eccentric Load on Column (P), Deflection of Free End (δ) & Deflection of Column (δ_c) and hit the calculate button.

FAQs on Eccentricity given Moment at Section of Column with Eccentric Load

What is the formula to find Eccentricity given Moment at Section of Column with Eccentric Load?

The formula of Eccentricity given Moment at Section of Column with Eccentric Load is expressed as Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column. Here is an example- 1.2E+6 = (48/40)-0.201112+0.012.

How to calculate Eccentricity given Moment at Section of Column with Eccentric Load?

With Moment of Force (M), Eccentric Load on Column (P), Deflection of Free End (δ) & Deflection of Column (δ_c) we can find Eccentricity given Moment at Section of Column with Eccentric Load using the formula - Eccentricity of Column = (Moment of Force/Eccentric Load on Column)-Deflection of Free End+Deflection of Column.

What are the other ways to Calculate Eccentricity of Column?

Here are the different ways to Calculate Eccentricity of Column-

Eccentricity of Column=(Deflection of Column/(1-cos(Distance b/w Fixed End and Deflection Point*sqrt(Eccentric Load on Column/(Modulus of Elasticity of Column*Moment of Inertia)))))-Deflection of Free End
Eccentricity of Column=((Maximum Stress at Crack Tip-(Eccentric Load on Column/Cross-Sectional Area of Column))*Section Modulus for Column)/((Eccentric Load on Column*sec(Effective Column Length*sqrt(Eccentric Load on Column/(Modulus of Elasticity of Column*Moment of Inertia))))/2)

Can the Eccentricity given Moment at Section of Column with Eccentric Load be negative?

No, the Eccentricity given Moment at Section of Column with Eccentric Load, measured in Length cannot be negative.

Which unit is used to measure Eccentricity given Moment at Section of Column with Eccentric Load?

Eccentricity given Moment at Section of Column with Eccentric Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Eccentricity given Moment at Section of Column with Eccentric Load can be measured.

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Eccentricity given Moment at Section of Column with Eccentric Load Formula

​GoEccentricity given Deflection at Section of Column with Eccentric load Formula

​GoEccentricity given Maximum Stress for Column with Eccentric Load Formula

Eccentricity given Moment at Section of Column with Eccentric Load Example

Eccentricity given Moment at Section of Column with Eccentric Load Solution

Eccentricity given Moment at Section of Column with Eccentric Load Formula Elements

Other Formulas to find Eccentricity of Column

Other formulas in Columns With Eccentric Load category

How to Evaluate Eccentricity given Moment at Section of Column with Eccentric Load?

FAQs on Eccentricity given Moment at Section of Column with Eccentric Load

Variable Name

GoEccentricity given Deflection at Section of Column with Eccentric load Formula

GoEccentricity given Maximum Stress for Column with Eccentric Load Formula